Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
Answer:
y=-3/4x - 7
Step-by-step explanation:
When finding the slope given a point and a slope, we do the following.
y=mx+b (Slope-intercept Form)
m is the slope and x,y are the points
Plug in everything
-1= -3/4(-8)+b
Multiply
-1 = 6 + b
-7 = b
This gives us the final equation of y=-3/4x - 7
The answer is 112 you have to add each of the sides up. There are 4 triangles 6x4 is 24 so 24x4 because there are 4 triangles and there is 1 square and if all of the sides are the same then it is 4x4 which is 16. Then you have 112 because, 24 x4 is 96 pulse 16 is 112
Answer:
m=9/8
Step-by-step explanation:
64m^2 -5=76
64m^2 =76+5
64m^2=81
m^2=81/64
m=
m=9/8
First I would convert 20 and 12 to millimeters which would be 20= 200mm 12= 120mm. You would then find the area if the grid which would be 200•120=
